Question

What is the y intercept for a line with point (1.5, 9.5) slope 0.5?

Answer 1

The y-intercept is 8.75.

Explanation:

Let's assume this is a straight line. So we know that the line follows the equation:

`y = mx +b`
Where m is the slope and b is the y-intercept.

The problem give us:
`m = 0.5`
`x =1.5`
`y =9.5`

First, let's solve for b:
`b = y - mx`

Now, let's plug in numbers:
`b = y - mx`
`b = 9.5 - (0.5 times 1.5)`
`b = 9.5 - 0.75`
`b = 8.75`

We can double-check by graphing the line:
graph{.5 x +8.75 [-14, 26, -2.24, 17.76]}

This does go through the point (1.5, 9.5).